Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model

• URL: http://arxiv.org/abs/2011.06947v2
• Date: Tue, 30 Mar 2021 16:06:00 GMT
• Title: Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model
• Authors: Vivek M. Vyas and Dibyendu Roy
• Abstract summary: A non-Hermitian generalization of the Su-Schrieffer-Heeger model driven by a periodic external potential is investigated. We find that the bi-orthonormal geometric phase acts as a topological index, well capturing the presence/absence of the zero modes.
• Score: 1.6295305195753724
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A non-Hermitian generalization of the Su-Schrieffer-Heeger model driven by a periodic external potential is investigated, and its topological features are explored. We find that the bi-orthonormal geometric phase acts as a topological index, well capturing the presence/absence of the zero modes. The model is observed to display trivial and non-trivial insulator phases and a topologically non-trivial M${\"o}$bius metallic phase. The driving field amplitude is shown to be a control parameter causing topological phase transitions in this model. While the system displays zero modes in the metallic phase apart from the non-trivial insulator phase, the metallic zero modes are not robust, as the ones found in the insulating phase. We further find that zero modes' energy converges slowly to zero as a function of the number of dimers in the M${\"o}$bius metallic phase compared to the non-trivial insulating phase.

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